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Change in Drawdown given Time at 1st and 2nd Instance Formula

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Difference in Drawdowns between the two wells. Check FAQs

Δs = \frac{2.303 \cdot Q \cdot \log ((\frac{t2}{t 1}), 10)}{4 \cdot π \cdot t hr}

Δs - Difference in Drawdowns?Q - Discharge?t2 - Time of Drawdown?t₁ - Time of Drawdown (t1)?t_hr - Time in Hours for Well Discharge?π - Archimedes' constant?

Change in Drawdown given Time at 1st and 2nd Instance Example

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Here is how the Change in Drawdown given Time at 1st and 2nd Instance equation looks like with Values.

Here is how the Change in Drawdown given Time at 1st and 2nd Instance equation looks like with Units.

Here is how the Change in Drawdown given Time at 1st and 2nd Instance equation looks like.

0.0171 = \frac{2.303 \cdot 1.01 \cdot \log ((\frac{240}{120}), 10)}{4 \cdot 3.1416 \cdot 0.01}

0.0171m = \frac{2.303 \cdot 1.01m³/s \cdot \log ((\frac{240s}{120s}), 10)}{4 \cdot 3.1416 \cdot 0.01h}

0.0171 = \frac{2.303 \cdot 1.01 \cdot \log ((\frac{240}{120}), 10)}{4 \cdot 3.1416 \cdot 0.01}

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Change in Drawdown given Time at 1st and 2nd Instance Solution

Follow our step by step solution on how to calculate Change in Drawdown given Time at 1st and 2nd Instance?

FIRST Step Consider the formula

Δs = \frac{2.303 \cdot Q \cdot \log ((\frac{t2}{t 1}), 10)}{4 \cdot π \cdot t hr}

Next Step Substitute values of Variables

∴

Δs = \frac{2.303 \cdot 1.01m³/s \cdot \log ((\frac{240s}{120s}), 10)}{4 \cdot π \cdot 0.01h}

Next Step Substitute values of Constants

∴

Δs = \frac{2.303 \cdot 1.01m³/s \cdot \log ((\frac{240s}{120s}), 10)}{4 \cdot 3.1416 \cdot 0.01h}

Next Step Convert Units

∴

Δs = \frac{2.303 \cdot 1.01m³/s \cdot \log ((\frac{240s}{120s}), 10)}{4 \cdot 3.1416 \cdot 36s}

Next Step Prepare to Evaluate

∴

Δs = \frac{2.303 \cdot 1.01 \cdot \log ((\frac{240}{120}), 10)}{4 \cdot 3.1416 \cdot 36}

Next Step Evaluate

∴

Δs = 0.0170802087652933m

LAST Step Rounding Answer

∴

Δs = 0.0171m

Change in Drawdown given Time at 1st and 2nd Instance Formula Elements

Variables

Constants

Functions

Difference in Drawdowns

Difference in Drawdowns between the two wells.

Symbol: Δs

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Difference in Drawdowns

Discharge

Discharge is the rate of flow of a fluid in unsteady flow.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Time of Drawdown

Time of Drawdown is the total period for the difference between the pumping water level and the static (non-pumping) water level.

Symbol: t2

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time of Drawdown

Time of Drawdown (t1)

Time of Drawdown (t1) is the total period for the difference between the pumping water level and the static (non-pumping) water level.

Symbol: t₁

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time of Drawdown (t1)

Time in Hours for Well Discharge

Time in Hours for Well Discharge is the time measured in hours for the discharge in wells.

Symbol: t_hr

Measurement: TimeUnit: h

Note: Value should be greater than 0.

Formulas to find Time in Hours for Well Discharge

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

log

Logarithmic function is an inverse function to exponentiation.

Syntax: log(Base, Number)

Other formulas in Drawdown and Change in Drawdown category

Go Drawdown given Well Function

s t = \frac{Q \cdot W u}{4 \cdot π \cdot F c}

Go Change in Drawdown given Formation Constant T

Δd = \frac{2.303 \cdot Q}{4 \cdot π \cdot F c}

Go Chow's Function given Drawdown

F u = \frac{s t}{Δd}

Go Drawdown given Chow's Function

s t = F u \cdot Δd

How to Evaluate Change in Drawdown given Time at 1st and 2nd Instance?

Change in Drawdown given Time at 1st and 2nd Instance evaluator uses Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge) to evaluate the Difference in Drawdowns, Change in Drawdown given Time at 1st and 2nd Instance formula is defined as a measure of the alteration in drawdown of water table during unsteady flow, which occurs when the pumping rate or other aquifer properties change over time, allowing for the analysis of groundwater flow dynamics. Difference in Drawdowns is denoted by Δs symbol.

How to evaluate Change in Drawdown given Time at 1st and 2nd Instance using this online evaluator? To use this online evaluator for Change in Drawdown given Time at 1st and 2nd Instance, enter Discharge (Q), Time of Drawdown (t2), Time of Drawdown (t1) (t₁) & Time in Hours for Well Discharge (t_hr) and hit the calculate button.

FAQs on Change in Drawdown given Time at 1st and 2nd Instance

What is the formula to find Change in Drawdown given Time at 1st and 2nd Instance?

The formula of Change in Drawdown given Time at 1st and 2nd Instance is expressed as Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge). Here is an example- 0.01708 = (2.303*1.01*log((240/120),10))/(4*pi*36).

How to calculate Change in Drawdown given Time at 1st and 2nd Instance?

With Discharge (Q), Time of Drawdown (t2), Time of Drawdown (t1) (t₁) & Time in Hours for Well Discharge (t_hr) we can find Change in Drawdown given Time at 1st and 2nd Instance using the formula - Difference in Drawdowns = (2.303*Discharge*log((Time of Drawdown/Time of Drawdown (t1)),10))/(4*pi*Time in Hours for Well Discharge). This formula also uses Archimedes' constant and Logarithmic Inverse (log) function(s).

Can the Change in Drawdown given Time at 1st and 2nd Instance be negative?

No, the Change in Drawdown given Time at 1st and 2nd Instance, measured in Length cannot be negative.

Which unit is used to measure Change in Drawdown given Time at 1st and 2nd Instance?

Change in Drawdown given Time at 1st and 2nd Instance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Change in Drawdown given Time at 1st and 2nd Instance can be measured.

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Change in Drawdown given Time at 1st and 2nd Instance Formula

Change in Drawdown given Time at 1st and 2nd Instance Example

Change in Drawdown given Time at 1st and 2nd Instance Solution

Change in Drawdown given Time at 1st and 2nd Instance Formula Elements

Other formulas in Drawdown and Change in Drawdown category

How to Evaluate Change in Drawdown given Time at 1st and 2nd Instance?

FAQs on Change in Drawdown given Time at 1st and 2nd Instance

Variable Name